which of the following statements is true? choose the correct statement. a. a function is increasing on an…

which of the following statements is true? choose the correct statement. a. a function is increasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ < x₂, then f(x₁) < f(x₂). b. a function is increasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ > x₂, then f(x₁) < f(x₂). c. a function is decreasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ > x₂, then f(x₁) > f(x₂). d. a function is decreasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ < x₂, then f(x₁) < f(x₂).

which of the following statements is true? choose the correct statement. a. a function is increasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ < x₂, then f(x₁) < f(x₂). b. a function is increasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ > x₂, then f(x₁) < f(x₂). c. a function is decreasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ > x₂, then f(x₁) > f(x₂). d. a function is decreasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ < x₂, then f(x₁) < f(x₂).

Answer

Brief Explanations:

By the definition of an increasing function, if a function (y = f(x)) is increasing on an interval ((a,b)), when (x_1<x_2) in the interval ((a,b)), then (f(x_1)<f(x_2)).

Answer:

A. A function is increasing on an interval ((a,b)) if, for any (x_1) and (x_2) chosen from the interval with (x_1 < x_2), then (f(x_1)<f(x_2))